A fractional micro-macro model for crowds of pedestrians based on fractional mean field games

被引：26

作者：

Cao K. ^{[1
]}

Chen Y. ^{[2
]}

Stuart D. ^{[3
]}

机构：

[1] College of Automation, Nanjing University of Posts and Telecommunications, Nanjing

[2] Mechatronics Embedded Systems and Automation Lab, School of Engineering, University of California, Merced, 95343, CA

[3] Department of Electrical and Computer Engineering, Utah State University, Logan, 84322, UT

来源：

IEEE/CAA Journal of Automatica Sinica | 2016年 / 3卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

fractional calculus; Fractional mean field games; macroscopic model; micro-macro model; microscopic model;

D O I：

10.1109/JAS.2016.7508801

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Modeling a crowd of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation law of mass. Then in order to characterize the competitive and cooperative interactions among pedestrians, fractional mean field games are utilized in the modeling problem when the number of pedestrians goes to infinity and fractional dynamic model composed of fractional backward and fractional forward equations are constructed in macro scale. Fractional micromacro model for crowds of pedestrians are obtained in the end. Simulation results are also included to illustrate the proposed fractional microscopic model and fractional macroscopic model, respectively. © 2014 Chinese Association of Automation.

引用

页码：261 / 270

页数：9

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